Question

Balu and Pumba shared ½ of a cake. Balu got to eat twice as much cake as Pumba. What fraction of the whole cake did Balu eat?

Answer 1

Okay. So, basically a 1/2 of a cake would be broken into 3 parts, because Balu eats double the amount Pumba does and Pumba eats cake as well. Let’s do 1/2 / 3. To divide fractions, keep 1/2 the same, change the division into multiplication, and flip 3 into 1/3. Multiply across. 1/2 * 1/3 is 1/6. 1/6 * 2 is 2/6. 2/6 is twice of 1/6 and 1/6 + 2/6 = 3/6. 2/6 in simplest form is 1/3. Balu ate 1/3 of a whole cake.

Answer 2

Balu ate
`(1)/(3)`fraction of the whole cake

Explanation:

Let x be the amount of cake eaten by Pumba

Balu got to eat twice as much cake as Pumba.

Balu eat cake = 2x

Balu and Pumba shared ½ of a cake.

So,
`2x+x=(1)/(2)`

`3x=(1)/(2)`

`x=(1)/(6)`

So, Pumba's share =
`(1)/(6)`

Balu's share = 2x =
`(2)/(6)=(1)/(3)`

Hence Balu ate
`(1)/(3)`fraction of the whole cake